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82861373200 = 2452239006671
BaseRepresentation
bin100110100101011101…
…1000011011100010000
321220212202021220010011
41031022323003130100
52324200002420300
6102022130444304
75662245023344
oct1151273033420
9256782256104
1082861373200
11321610a3121
1214086133694
137a76ba0058
144020bb7624
15224e7cceba
hex134aec3710

82861373200 has 60 divisors (see below), whose sum is σ = 207729883008. Its totient is φ = 31703478400.

The previous prime is 82861373167. The next prime is 82861373207. The reversal of 82861373200 is 237316828.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (82861373207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4494136 + ... + 4512535.

Almost surely, 282861373200 is an apocalyptic number.

82861373200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82861373200 is an abundant number, since it is smaller than the sum of its proper divisors (124868509808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82861373200 is a wasteful number, since it uses less digits than its factorization.

82861373200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9006712 (or 9006701 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 82861373200 in words is "eighty-two billion, eight hundred sixty-one million, three hundred seventy-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 184 200 230 368 400 460 575 920 1150 1840 2300 4600 9200 9006671 18013342 36026684 45033355 72053368 90066710 144106736 180133420 207153433 225166775 360266840 414306866 450333550 720533680 828613732 900667100 1035767165 1657227464 1801334200 2071534330 3314454928 3602668400 4143068660 5178835825 8286137320 10357671650 16572274640 20715343300 41430686600 82861373200